Details

analyze366.0ms (5.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	28×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune11.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 z (*.f64 y (-.f64 x z)))
0.0b	(*.f64 y (-.f64 x z))

rewrite69.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_14763` `cancel-sign-sub-inv_binary64_14707`
10×	`*-un-lft-identity_binary64_14741`
8×	`add-cube-cbrt_binary64_14776` `distribute-rgt-in_binary64_14691` `distribute-lft-in_binary64_14690` `associate-+r+_binary64_14673`
5×	`associate-r_binary64_14681`
4×	`pow1_binary64_14802` `add-exp-log_binary64_14779` `add-log-exp_binary64_14780` `add-cbrt-cube_binary64_14777` `sub-neg_binary64_14734`
3×	`associate-l_binary64_14682`
2×	`associate-*r/_binary64_14683`
1×	`pow-prod-down_binary64_14812` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `unswap-sqr_binary64_14709` `flip3--_binary64_14745` `flip--_binary64_14716` `difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693` `*-commutative_binary64_14672` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `+-commutative_binary64_14671`

Counts

2 → 49

Calls

2 calls:

15.0ms	(*.f64 y (-.f64 x z))
8.0ms	(+.f64 z (*.f64 y (-.f64 x z)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series276.0ms (4.2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

138.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
123.0ms	(*.f64 y (-.f64 x z))

Compiler

Compiled 618 to 363 computations (41.3% saved)

simplify102.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4909	764
1	4909	764

prune44.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Error

Counts

84 → 3

Compiler

Compiled 839 to 174 computations (79.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`associate-+r+_binary64_14673`
6×	`cancel-sign-sub-inv_binary64_14707`
4×	`distribute-rgt-in_binary64_14691` `distribute-lft-in_binary64_14690`
3×	`add-log-exp_binary64_14780` `add-cube-cbrt_binary64_14776` `add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
2×	`sub-neg_binary64_14734`
1×	`sum-log_binary64_14832` `pow1_binary64_14802` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `flip3-+_binary64_14744` `flip-+_binary64_14715` `+-commutative_binary64_14671`

Counts

1 → 19

Calls

1 calls:

5.0ms

(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))

Compiler

Compiled 342 to 172 computations (49.7% saved)

series156.0ms (2.4%)

Error

Counts

1 → 18

Calls

1 calls:

149.0ms

(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))

Compiler

Compiled 321 to 194 computations (39.6% saved)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5004	391

prune19.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	37	3	40

Error

Counts

40 → 3

Compiler

Compiled 401 to 97 computations (75.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 z (.f64 (-.f64 x z) y))) (cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y))))
0.5b	(cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y)))
0.5b	(cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y)))
0.5b	(cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y)))

rewrite118.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_14772`
23×	`add-sqr-sqrt_binary64_14763`
18×	`cbrt-div_binary64_14773`
15×	`add-cube-cbrt_binary64_14776` `*-un-lft-identity_binary64_14741`
11×	`pow1_binary64_14802`
9×	`pow1/3_binary64_14823` `flip3-+_binary64_14744` `flip-+_binary64_14715`
6×	`add-exp-log_binary64_14779` `swap-sqr_binary64_14708` `associate-l_binary64_14682` `associate-r_binary64_14681`
4×	`add-log-exp_binary64_14780` `add-cbrt-cube_binary64_14777` `frac-times_binary64_14751` `unswap-sqr_binary64_14709`
2×	`pow-prod-down_binary64_14812` `pow-prod-up_binary64_14811` `pow-sqr_binary64_14714` `associate-l/_binary64_14684` `associate-r/_binary64_14683`
1×	`pow2_binary64_14822` `pow-plus_binary64_14804` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `*-commutative_binary64_14672`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 z (.f64 (-.f64 x z) y))) (cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y))))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y)))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y)))
4.0ms	(cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y)))

Compiler

Compiled 3392 to 340 computations (90% saved)

series3.7s (56.9%)

Error

Counts

4 → 96

Calls

4 calls:

1.4s	(.f64 (cbrt.f64 (+.f64 z (.f64 (-.f64 x z) y))) (cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y))))
775.0ms	(cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y)))
652.0ms	(cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y)))
543.0ms	(cbrt.f64 (+.f64 z (*.f64 (-.f64 x z) y)))

Compiler

Compiled 18085 to 12048 computations (33.4% saved)

simplify109.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5098	8555

prune370.0ms (5.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	183	3	186

Error

Counts

186 → 3

Compiler

Compiled 8577 to 2686 computations (68.7% saved)

regimes96.0ms (1.5%)

Accuracy

Total 0.0b remaining (72.6%)

Threshold costs 0.0b (72.6%)

Compiler

Compiled 492 to 338 computations (31.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample817.0ms (12.5%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
24.0ms	730×	body	128	invalid

Compiler

Compiled 141 to 100 computations (29.1% saved)

Details

analyze366.0ms (5.6%)

sample18.0ms (0.3%)

simplify121.0ms (1.8%)

prune11.0ms (0.2%)

localize10.0ms (0.2%)

rewrite69.0ms (1.1%)

series276.0ms (4.2%)

simplify102.0ms (1.6%)

prune44.0ms (0.7%)

localize6.0ms (0.1%)

rewrite28.0ms (0.4%)

series156.0ms (2.4%)

simplify63.0ms (1%)

prune19.0ms (0.3%)

localize17.0ms (0.3%)

rewrite118.0ms (1.8%)

series3.7s (56.9%)

simplify109.0ms (1.7%)

prune370.0ms (5.7%)

regimes96.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample817.0ms (12.5%)

Profiling